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Calculus of Several Variables

  • Textbook
  • © 1987

Overview

Part of the book series: Undergraduate Texts in Mathematics (UTM)

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Table of contents (17 chapters)

  1. Basic Material

  2. Maxima, Minima, and Taylor’s Formula

  3. Curve Integrals and Double Integrals

  4. Triple and Surface Integrals

  5. Mappings, Inverse Mappings, and Change of Variables Formula

Keywords

About this book

The present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if the calculus sequence is so structured. For a one-semester course, no matter what, one should cover the first four chapters, up to the law of conservation of energy, which provides a beautiful application of the chain rule in a physical context, and ties up the mathematics of this course with standard material from courses on physics. Then there are roughly two possibilities: One is to cover Chapters V and VI on maxima and minima, quadratic forms, critical points, and Taylor's formula. One can then finish with Chapter IX on double integration to round off the one-term course. The other is to go into curve integrals, double integration, and Green's theorem, that is Chapters VII, VIII, IX, and X, §1. This forms a coherent whole.

Authors and Affiliations

  • Department of Mathematics, Yale University, New Haven, USA

    Serge Lang

Bibliographic Information

  • Book Title: Calculus of Several Variables

  • Authors: Serge Lang

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-1068-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1987

  • Hardcover ISBN: 978-0-387-96405-8Published: 17 February 1987

  • Softcover ISBN: 978-1-4612-7001-0Published: 17 October 2012

  • eBook ISBN: 978-1-4612-1068-9Published: 06 December 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 3

  • Number of Pages: XII, 619

  • Additional Information: Originally published by Addison-Wesley, Reading, 1979

  • Topics: Real Functions

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